The pair are thought to have sneaked out of Stonyhurst College in Clitheroe, Lancs, at around 3am. Once clear of the historic £29,439-a-year Catholic school, they got a taxi to Manchester Airport.
Staff there confirmed the lovestruck pair boarded a flight to Punta Cana airport, Dominican Republic.
Teachers raised the alarm after the couple failed to show for lessons. It is believed Indira, originally from Kazakhstan, went to the school last September to study Alevels.
Fitness fanatic Edward, from Cheltenham, Glos, has dual British and Spanish citizenship.
His Facebook page shows pictures of him smoking and posters of Afro-Caribbean men apparently smoking marijuana.
One picture carried the caption: “F*** the world.”
Another said: “For every dark night, there’s a brighter day.” One pupil described Indira as a “quiet girl”.
Another source said: “Many pupils are from overseas and their parents give them credit cards.”
A spokesman for Stonyhurst College said: “We understand from the police that they may be overseas.
“Our main concern is to be sure they are safe and sound, and to reunite them with their families.”